The ratio of tangential velocities of a planet at the perihelion and the aphelion from the sun is $1.0339 .$ Assuming that the planet's orbit around the sun is planar and elliptic, the value of eccentricity of the orbit is____________ (round off to three decimal places).

The ratio of tangential velocities of a planet at the perihelion and the aphelion from the sun is $1.0339 .$ Assuming that the planet's orbit around the sun is planar and elliptic, the value of eccentricity of the orbit is____________ (round off to three decimal places).

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